Chapter 3: Network Admittance and Impedance Matrices

...Contd from previous slide

Then the system impedance diagram is as shown in Fig. 3.3 where Z11 = j ( XG1 + XT1 ) and Z22 = j ( XG2 + XT2 ).

Fig. 3.3 Impedance diagram of the power network of Fig. 3.2.

In this figure the nodes with the node voltages of V1 to V4 indicate the buses 1 to 4 respectively. Bus 0 indicates the reference node that is usually the neutral of the Y-connected system. The impedance diagram is converted into an equivalent admittance diagram shown in Fig. 3.4. In this diagram Yij = 1/ Zij , i = 1,..., 4 and j = 1, ... , 4. The voltage sources EG1 and EG2 are converted into the equivalent current sources I1 and I2 respectively using the Norton's theorem discussed before.

Fig. 3.4 Equivalent admittance diagram of the impedance of Fig. 3.3.

Contd...